338349240 has 96 divisors (see below), whose sum is σ = 1123087680. Its totient is φ = 88302336.

The previous prime is 338349239. The next prime is 338349257. The reversal of 338349240 is 42943833.

It is a happy number.

It is a super-2 number, since 2×338349240² = 228960416417155200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 338349195 and 338349204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6922 + ... + 26918.

It is an arithmetic number, because the mean of its divisors is an integer number (11698830).

Almost surely, 2^338349240 is an apocalyptic number.

338349240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338349240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561543840).

338349240 is an abundant number, since it is smaller than the sum of its proper divisors (784738440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

338349240 is a wasteful number, since it uses less digits than its factorization.

338349240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20061 (or 20054 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 338349240 is about 18394.2719344909. The cubic root of 338349240 is about 696.8218096774.

The spelling of 338349240 in words is "three hundred thirty-eight million, three hundred forty-nine thousand, two hundred forty".